Use this information for questions 5-7, A set of bivariate data has these summar

Question

Use this information for questions 5-7, A set of bivariate data has these summary statistics: s,-6, and r =-2/3. 5. What is the slope of the regression equation? X-30, S-8, Y 70, (B)-½ (C) 85 (D)-85 (E) 85 (A) ½ what is the mean value for Y when X = 36. (A) 49 (B) 85 (C) 100 (D) 82 (E) 67 What proportion of variability in Y is not accounted for by variability in X? (A) ½ Consider the following scatter plots with the indicated correlation coefficients. 6, 7. (B) 2/3 (C) 1/3 (D)49 (E) 5/9 8. r1 What is the relationship among r,,r2, and r,? (A) r1

Explanation / Answer

X bar = 30, Sx = 8, Y bar = 70, Sy = 6, r = 2/3

Question 5:

b = r * ( Sy / Sx )

   = -(2/3) *(6/8)

   = -1/2

Answer: B -1/2

Question 6:

a = Y bar – (b*X bar)

    = 70 + (1/2 *30)

    = 70 + 15

   = 85

Y^ = a + bX

    = 85 – (0.5*36)

    = 67

Answer: E 67

  

Question 7:

1 – r^2 = 1 – (-2/3)^2

            = 5 / 9

Answer: E 5 / 9

Question 8

Answer: D r3 < r1 < r2

               

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